Title: Smoluchowski-Navier-Stokes dynamics

Abstract.

The equilibrium statistical mechanics of particles suspended
in fluids is described by the Onsager equation for the particle
probability distribution. I will start with the Onsager equation,
talk about some of its properties including phase transition, and show
how it arises in the larger context of Smoluchowski-Navier-Stokes
dynamics. I will then describe recent regularity results for the latter.